A certain marine engine has cylinders that are 3.16 cm in diameter and 5.81 cm deep. Find the total volume of 8 cylinders​ (Use 3.14 for pi as needed. Round to the nearest​ hundredth).

Answer 1

First, we need to calculate the volume of a single cylinder:

V = πr^2h

Given that the diameter is 3.16 cm, the radius (r) is half of that:
r = 3.16 / 2 = 1.58 cm

The height of the cylinder is 5.81 cm

Now we can plug these values into the formula and calculate:
V = π * (1.58)^2 * 5.81
V ≈ 3.14 * 2.4964 * 5.81
V ≈ 45.799

Now we can find the total volume of 8 cylinders:
Total Volume = 45.799 * 8
Total Volume ≈ 366.392 cm³

Therefore, the total volume of 8 cylinders is approximately 366.39 cm³.